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Finding the Fourth Proportional to 6,417.78, 9,628.23 and 1,800.78

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Solution

The fourth proportional to 6,417.78, 9,628.23 and 1,800.78 is: 2,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.78 : 9,628.23 = 1,800.78 : x
  2. Step 2: Convert to fraction form
    6,417.78/9,628.23 = 1,800.78/x
  3. Step 3: Cross multiply
    6,417.78x = 9,628.23 × 1,800.78
  4. Step 4: Simplify right side
    6,417.78x = 17,338,324.02
  5. Step 5: Solve for x
    x = 17,338,324.02/6,417.78
  6. Step 6: Final answer
    x = 2,701.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.